# IJPAM: Volume 47, No. 2 (2008)

GENERALIZED ESSENTIALLY SLANT HANKEL OPERATORS

S.C. Arora, Jyoti Bhola
Department of Mathematics
University of Delhi
Delhi, 110 007, INDIA
e-mail: scarora@maths.du.ac.in
Department of Mathematics
Hansraj College
University of Delhi
Delhi 110 007, INDIA
e-mail: jbhola_24@rediffmail.com

Abstract.The notion of essentially slant Hankel operators is generalized to -th order essentially slant Hankel operators on the space , denoting the unit circle in the complex plane. The study is further carried to compressions of such operators. It is shown that for a fixed integer , a Rhaly operator is the compression of a -th order essentially slant Hankel operator iff it is the compression of a -th order essentially slant Toeplitz operator.